Certified GKH Gardening Expert
The picture does seem to show that the plant is under some stress, as all pitchers should not be turning at the same time. This can happen for a number of reasons. I will go over a few...
Too much light- These will not survive full sun. They normally reside in the canopy of trees with no soil and attached to bark, or around the base of the tree. They are shaded by leaves and only receive bright filtered light, never direct.
Water getting in the pitchers - Pouring water, or letting these get direct rain for an extended period, will cause the enzymes within the pitcher to become dilute, causing the premature death of the pitcher. This is usually avoided in nature since they are protected by a tree's canopy.
Cooler weather - Since This is a tropical variety, you will start to notice the quick death of the plant when the temperatures get down around 50 degrees or so. They will need to be brought in during this time.
For now, this article will help get you started to caring for these properly: https://www.gardeningknowhow.com/houseplants/pitcher-plants/hanging-pitcher-plants.htm
